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The
fundamental group of compact Kähler threefolds
Benoît Claudon, Andreas Höring and Hsueh-Yung Lin |
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Geometry & Topology 23 (2019) 3233–3271
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Abstract |
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Let be a compact Kähler manifold of dimension three. We prove that there exists a projective manifold such that . We also prove the bimeromorphic existence of algebraic approximations for compact Kähler manifolds of algebraic dimension . Together with the work of Graf and the third author, this settles in particular the bimeromorphic Kodaira problem for compact Kähler threefolds. |
Keywords
fundamental group, compact Kähler manifolds, algebraic
approximations, elliptic fibrations
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Mathematical Subject Classification 2010
Primary: 14D07, 32J17, 32J27, 32Q55
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References |
Publication
Received: 25 July 2017
Revised: 20 August 2018
Accepted: 29 April 2019
Published: 30 December 2019
Proposed: Dan Abramovich
Seconded: Anna Wienhard, John Lott
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Authors |
| Benoît Claudon | |
| Université Rennes 1 IRMAR-UMR 6625 Rennes France |
Institut Universitaire de France |
| Andreas Höring | |
| Université Côte d’Azur CNRS Laboratoire Jean-Alexandre Dieudonné Nice France |
Institut Universitaire de France |
| Hsueh-Yung Lin | |
| Mathematisches Institut der
Universität Bonn Bonn Germany |
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